时间尺度上分数阶Riemann-Liouville初值问题解的存在唯一性
经典分析与常微分方程
2015-12-24 v1
摘要
我们引入了时间尺度上 Riemann-Liouville 分数阶导数概念。证明了这一新算子的基本性质，以及任意时间尺度上分数阶初值问题解的存在唯一性结果。
引用
@article{arxiv.1508.00754,
title = {Existence and Uniqueness of Solution for a Fractional Riemann-Liouville Initial Value Problem on Time Scales},
author = {Nadia Benkhettou and Ahmed Hammoudi and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1508.00754},
year = {2015}
}
备注
This is a preprint of a paper whose final and definite form is in Journal of King Saud University (Science), http://dx.doi.org/10.1016/j.jksus.2015.08.001 Paper submitted 18/May/2015; revised 31/July/2015; accepted for publication 03/Aug/2015